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12775528068736 = 2719193197138163
BaseRepresentation
bin1011100111101000100011…
…0011111111011010000000
31200020022212111221221002111
42321322020303333122000
53133303240141144421
643100555132025104
72456000331563116
oct271721063773200
950208774857074
1012775528068736
1140860865a0414
121523b96602194
1371895b664a54
143224a5b7bab6
151724c2a9eee1
hexb9e88cff680

12775528068736 has 128 divisors (see below), whose sum is σ = 27066493396800. Its totient is φ = 5989607866368.

The previous prime is 12775528068703. The next prime is 12775528068817. The reversal of 12775528068736 is 63786082557721.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×127755280687362 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92397991 + ... + 92536153.

Almost surely, 212775528068736 is an apocalyptic number.

12775528068736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12775528068736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13533246698400).

12775528068736 is an abundant number, since it is smaller than the sum of its proper divisors (14290965328064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12775528068736 is a wasteful number, since it uses less digits than its factorization.

12775528068736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138586 (or 138574 counting only the distinct ones).

The product of its (nonzero) digits is 237081600, while the sum is 67.

The spelling of 12775528068736 in words is "twelve trillion, seven hundred seventy-five billion, five hundred twenty-eight million, sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 193 197 304 386 394 608 772 788 1216 1544 1576 2432 3088 3152 3667 3743 6176 6304 7334 7486 12352 12608 14668 14972 24704 25216 29336 29944 38021 58672 59888 76042 117344 119776 138163 152084 234688 239552 276326 304168 469376 479104 552652 608336 722399 1105304 1216672 1444798 2210608 2433344 2625097 2889596 4421216 4866688 5250194 5779192 8842432 10500388 11558384 17684864 21000776 23116768 26665459 27218111 42001552 46233536 53330918 54436222 84003104 92467072 106661836 108872444 168006208 213323672 217744888 336012416 426647344 435489776 506643721 517144109 853294688 870979552 1013287442 1034288218 1706589376 1741959104 2026574884 2068576436 3413178752 3483918208 4053149768 4137152872 5253095423 8106299536 8274305744 10506190846 16212599072 16548611488 21012381692 32425198144 33097222976 42024763384 64850396288 66194445952 84049526768 99808813037 168099053536 199617626074 336198107072 399235252148 672396214144 798470504296 1596941008592 3193882017184 6387764034368 12775528068736